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Simplifying 2x + 5y = 3x + -3y + 7 Reorder the terms: 2x + 5y = 7 + 3x + -3y Solving 2x + 5y = 7 + 3x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2x + -3x + 5y = 7 + 3x + -3x + -3y Combine like terms: 2x + -3x = -1x -1x + 5y = 7 + 3x + -3x + -3y Combine like terms: 3x + -3x = 0 -1x + 5y = 7 + 0 + -3y -1x + 5y = 7 + -3y Add '-5y' to each side of the equation. -1x + 5y + -5y = 7 + -3y + -5y Combine like terms: 5y + -5y = 0 -1x + 0 = 7 + -3y + -5y -1x = 7 + -3y + -5y Combine like terms: -3y + -5y = -8y -1x = 7 + -8y Divide each side by '-1'. x = -7 + 8y Simplifying x = -7 + 8y
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